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Popular Calculus >

integral of 6x^2-4x

Solution

\int 6 x^{2} - 4 x d x

Solution

2 x^{3} - 2 x^{2} + C

Solution steps

\int 6 x^{2} - 4 x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 6 x^{2} d x - \int 4 x d x

\int 6 x^{2} d x = 2 x^{3}

\int 4 x d x = 2 x^{2}

= 2 x^{3} - 2 x^{2}

Add a constant to the solution

= 2 x^{3} - 2 x^{2} + C

Graph

Popular Examples

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limit as x approaches 0 of (1+6x)^{4/x}

(\partial)/(\partial x)(e^{3x^2+y}(x-y))

Frequently Asked Questions (FAQ)

What is the integral of 6x^2-4x ?
The integral of 6x^2-4x is 2x^3-2x^2+C